Week 15~Wednesday

Front

What does the inequality x ≤ -2 represent on a number line?

Back

It represents all numbers less than or equal to -2, including -2 itself.

Front

How do you solve the inequality -2.1x + 2.9 > 15.5?

Back

First, subtract 2.9 from both sides: -2.1x > 12.6. Then, divide by -2.1 (remember to flip the inequality): x < -6.

Front

What is a table of values in relation to a graph?

Back

A table of values lists pairs of x and y coordinates that can be plotted on a graph to represent a relationship.

Front

What does it mean for y to be proportional to x?

Back

It means that as x changes, y changes at a constant rate, which is the unit rate.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.

Front

If Jim wants to carpet four identical rooms each measuring 14 ft by 20.5 ft, how do you find the total area?

Back

Total area = 4 × (14 ft × 20.5 ft) = 4 × 287 sq. ft = 1148 sq. ft.

Front

How many rolls of carpet does Jim need if each roll covers 200 sq. ft.?

Back

Total rolls needed = Total area / Area covered by one roll = 1148 sq. ft. / 200 sq. ft. = 5.74, rounded up to 6 rolls.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

What does it mean if unit rates are not all the same?

Back

It means that the relationship between x and y is not proportional.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.